NONMONOGENITY OF NUMBER FIELDS DEFINED BY TRUNCATED EXPONENTIAL POLYNOMIALS
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DOI: 10.1017/s0004972724000819
Abstract: Abstract Let p be a prime number. Let $n\geq 2$ be an integer given by $n = p^{m_1} + p^{m_2} + \cdots + p^{m_r}$ , where $0\leq m_1 < m_2 < \cdots < m_r$ are… read more here.
Keywords: number; truncated exponential; nonmonogenity number; number fields ... See more keywords
Truncated-exponential-based Frobenius–Euler polynomials
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DOI: 10.1186/s13662-019-2462-0
Abstract: In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function. By making use of this exponential generating function, we obtain… read more here.
Keywords: truncated exponential; exponential based; frobenius euler; euler polynomials ... See more keywords
Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences
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DOI: 10.3390/e24030421
Abstract: By calculating the Kullback–Leibler divergence between two probability measures belonging to different exponential families dominated by the same measure, we obtain a formula that generalizes the ordinary Fenchel–Young divergence. Inspired by this formula, we define… read more here.
Keywords: duo; truncated exponential; duo bregman; divergence ... See more keywords
Information-Geometric Approach for a One-Sided Truncated Exponential Family
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DOI: 10.3390/e25050769
Abstract: In information geometry, there has been extensive research on the deep connections between differential geometric structures, such as the Fisher metric and the α-connection, and the statistical theory for statistical models satisfying regularity conditions. However,… read more here.
Keywords: information; sided truncated; truncated exponential; family ... See more keywords
Truncated-Exponential-Based Appell-Type Changhee Polynomials
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DOI: 10.3390/sym12101588
Abstract: The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known polynomials have been investigated and applied in various ways. In this paper, by incorporating… read more here.
Keywords: type changhee; exponential based; appell type; changhee polynomials ... See more keywords